On the integrability of Bianchi cosmological models
نویسندگان
چکیده
منابع مشابه
On the Integrability of Bianchi Cosmological Models
In this work, we are investigating the problem of integrability of Bianchi class A cosmological models. This class of systems is reduced to the form of Hamiltonian systems with exponential potential forms. The dynamics of Bianchi class A models is investigated through the EulerLagrange equations and geodesic equations in the Jacobi metric. On this basis, we have come to some general conclusions...
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Antoni Ferragut, a) Jaume Llibre, b) and Chara Pantazi c) Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, ETSEIB, Av. Diagonal, 647, 08028, Barcelona, Catalonia, Spain Departament de Matemàtiques, Universitat Autònoma de Barcelona, Edifici C, 08193 Bellaterra, Barcelona, Catalonia, Spain Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, (EPS...
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We follow Bogoyavlensky's approach to deal with Bianchi class B cosmological models. We characterize the analytic integrability of such systems.
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The Einstein field equations for several cosmological models reduce to polynomial systems of ordinary differential equations. In this paper we shall concentrate our attention to the spatially homogeneous diagonal G2 cosmologies. By using Darboux’s theory in order to study ordinary differential equations in the complex projective plane CP we solve the Bianchi V models totally. Moreover, we carry...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1998
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/31/8/014